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Finding the Fourth Proportional to 2,752.21, 4,125.60 and 1,762.21

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Solution

The fourth proportional to 2,752.21, 4,125.60 and 1,762.21 is: 2,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.21 : 4,125.60 = 1,762.21 : x
  2. Step 2: Convert to fraction form
    2,752.21/4,125.60 = 1,762.21/x
  3. Step 3: Cross multiply
    2,752.21x = 4,125.60 × 1,762.21
  4. Step 4: Simplify right side
    2,752.21x = 7,270,163.26
  5. Step 5: Solve for x
    x = 7,270,163.26/2,752.21
  6. Step 6: Final answer
    x = 2,641.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.